05956cam a2200757Ma 4500 ocn767949531 OCoLC 20171116090542.0 m o d cr |n||||||||| 110622s2011 njua ob 001 0 eng d 2011024791 9781118135204 (electronic bk.) 1118135202 (electronic bk.) 9781118135174 1118135172 1283337479 9781283337472 9780470473542 (hbk.) 0470473541 (hbk.) 9786613337474 AU@ 000051585594 DEBSZ 372886396 DEBSZ 423096273 DEBSZ 43099222X DEBSZ 449241661 DKDLA 820120-katalog:000588078 NZ1 14690872 DEBBG BV043393816 (OCoLC)767949531 (OCoLC)765121299 (OCoLC)768731718 (OCoLC)839335116 (OCoLC)961494595 (OCoLC)962717885 (OCoLC)966214504 333747 MIL CDX eng pn CDX COO YDXCP E7B DG1 REDDC OCLCQ STF DEBSZ OCLCQ OCLCF EBLCP N$T IDEBK UKDOC NLGGC OCLCQ DEBBG AZK LOA MAIN QC20 .G66 2011eb SCI 024000 bisacsh SCI 041000 bisacsh SCI 055000 bisacsh 530.15 23 Goodson, David Z., 1958- Mathematical methods for physical and analytical chemistry / David Z. Goodson. [electronic resource] Hoboken, N.J. : Wiley, ©2011. 1 online resource (xix, 382 pages) : illustrations text txt rdacontent computer c rdamedia online resource cr rdacarrier Includes bibliographical references and index. Mathematical Methods for Physical and Analytical Chemistry; Contents; Preface; List of Examples; Greek Alphabet; Part I. Calculus; 1 Functions: General Properties; 1.1 Mappings; 1.2 Differentials and Derivatives; 1.3 Partial Derivatives; 1.4 Integrals; 1.5 Critical Points; 2 Functions: Examples; 2.1 Algebraic Functions; 2.2 Transcendental Functions; 2.2.1 Logarithm and Exponential; 2.2.2 Circular Functions; 2.2.3 Gamma and Beta Functions; 2.3 Functionals; 3 Coordinate Systems; 3.1 Points in Space; 3.2 Coordinate Systems for Molecules; 3.3 Abstract Coordinates; 3.4 Constraints. 3.4.1 Degrees of Freedom3.4.2 Constrained Extrema; 3.5 Differential Operators in Polar Coordinates; 4 Integration; 4.1 Change of Variables in Integrands; 4.1.1 Change of Variable: Examples; 4.1.2 Jacobian Determinant; 4.2 Gaussian Integrals; 4.3 Improper Integrals; 4.4 Dirac Delta Function; 4.5 Line Integrals; 5 Numerical Methods; 5.1 Interpolation; 5.2 Numerical Differentiation; 5.3 Numerical Integration; 5.4 Random Numbers; 5.5 Root Finding; 5.6 Minimization; 6 Complex Numbers; 6.1 Complex Arithmetic; 6.2 Fundamental Theorem of Algebra; 6.3 The Argand Diagram. 6.4 Functions of a Complex Variable6.5 Branch Cuts; 7 Extrapolation; 7.1 Taylor Series; 7.2 Partial Sums; 7.3 Applications of Taylor Series; 7.4 Convergence; 7.5 Summation Approximants; Part II. Statistics; 8 Estimation; 8.1 Error and Estimation; 8.2 Probability Distributions; 8.2.1 Probability Distribution Functions; 8.2.2 The Normal Distribution; 8.2.3 The Poisson Distribution; 8.2.4 The Binomial Distribution; 8.2.5 The Boltzmann Distribution; 8.3 Outliers; 8.4 Robust Estimation; 9 Analysis of Significance; 9.1 Confidence Intervals; 9.2 Propagation of Error. 9.3 Monte Carlo Simulation of Error9.4 Significance of Difference; 9.5 Distribution Testing; 10 Fitting; 10.1 Method of Least Squares; 10.1.1 Polynomial Fitting; 10.1.2 Weighted Least Squares; 10.1.3 Generalizations of the Least-Squares Method; 10.2 Fitting with Error in Both Variables; 10.2.1 Uncontrolled Error in x; 10.2.2 Controlled Error in x; 10.3 Nonlinear Fitting; 11 Quality of Fit; 11.1 Confidence Intervals for Parameters; 11.2 Confidence Band for a Calibration Line; 11.3 Outliers and Leverage Points; 11.4 Robust Fitting; 11.5 Model Testing; 12 Experiment Design; 12.1 Risk Assessment. 12.2 Randomization12.3 Multiple Comparisons; 12.3.1 ANOVA; 12.3.2 Post-Hoc Tests; 12.4 Optimization; Part III. Differential Equations; 13 Examples of Differential Equations; 13.1 Chemical Reaction Rates; 13.2 Classical Mechanics; 13.2.1 Newtonian Mechanics; 13.2.2 Lagrangian and Hamiltonian Mechanics; 13.2.3 Angular Momentum; 13.3 Differentials in Thermodynamics; 13.4 Transport Equations; 14 Solving Differential Equations, I; 14.1 Basic Concepts; 14.2 The Superposition Principle; 14.3 First-Order ODE's; 14.4 Higher-Order ODE's; 14.5 Partial Differential Equations. "Mathematical Methods for Physical and Analytical Chemistry presents mathematical and statistical methods to students of chemistry at the intermediate, post-calculus level. The content includes a review of general calculus; a review of numerical techniques often omitted from calculus courses, such as cubic splines and Newton's method; a detailed treatment of statistical methods for experimental data analysis; complex numbers; extrapolation; linear algebra; and differential equations"-- Provided by publisher. Print version record. Mathematical physics. Chemometrics. SCIENCE Energy. bisacsh SCIENCE Mechanics General. bisacsh SCIENCE Physics General. bisacsh Chemometrics. fast (OCoLC)fst01736550 Mathematical physics. fast (OCoLC)fst01012104 Electronic books. Electronic books. local Print version: 9786613337474 http://onlinelibrary.wiley.com/book/10.1002/9781118135204 Wiley Online Library ddc BK 205426 205426